ALL CHAPTERS COVERED
, Contents
List of Symbols 1
1 Qualitative Relativity 5
2 Relativity of Time and Space 9
3 Lorentz Transformation 19
4 Spacetime Geometry 49
5 Spacetime Momentum 75
6 Relativity in Four Dimensions 85
7 Relativistic Photography 99
8 Relativistic Interactions 127
9 Interstellar Travel 139
10 A Painless Introduction to Tensors 151
11 Relativistic Electrodynamics 157
12 Early Universe 167
A Maxwell’s Equations 177
B Derivation of 4D Lorentz transformation 181
C Relativistic Photography Formulas 185
,
, List of Symbols, Phrases, and Acronyms
â unit vector in the direction of ~a
anti-particle a particle whose mass and spin are exactly the same as its corresponding
particle, but the sign of all its “charges” are opposite. If a particle is represented
by the letter p, then it is customary to denote its anti-particle by p̄. If a particle is
represented by the letter q − (or q + ), then it is customary to denote its anti-particle
by q + (or q − ).
as arcsecond; an arcsecond is an angle 1/3600 of a degree.
baryon a hadron whose spin is an odd multiple of ~/2. Baryons are composed of three
quarks. Examples of baryons are protons and neutrons.
~ fractional velocity of one observer relative to another, β~ = ~v /c
β
boson a particle whose spin is an integer multiple of ~. All gauge particles are bosons as
are all mesons, as well as the Higgs particle.
causally connected referring to two two events. If an observer or a light signal can be
present at two events, those events are said to be causally connected.
causally disconnected referring to two two events. If an observer or a light signal cannot
be present at two events, those events are said to be causally disconnected.
CBR Cosmic Background Radiation
CM center of mass
CS coordinate system
êx , êy , êz unit vectors along the three Cartesian axes.
EM electromagnetic or electromagnetism, one of the four fundamental forces of nature.
equilibrium temperature temperature of the universe at which matter and radiation
densities are equal
eV electron volt, unit of energy equal to 1.6 × 10−19 J
, Contents
List of Symbols 1
1 Qualitative Relativity 5
2 Relativity of Time and Space 9
3 Lorentz Transformation 19
4 Spacetime Geometry 49
5 Spacetime Momentum 75
6 Relativity in Four Dimensions 85
7 Relativistic Photography 99
8 Relativistic Interactions 127
9 Interstellar Travel 139
10 A Painless Introduction to Tensors 151
11 Relativistic Electrodynamics 157
12 Early Universe 167
A Maxwell’s Equations 177
B Derivation of 4D Lorentz transformation 181
C Relativistic Photography Formulas 185
,
, List of Symbols, Phrases, and Acronyms
â unit vector in the direction of ~a
anti-particle a particle whose mass and spin are exactly the same as its corresponding
particle, but the sign of all its “charges” are opposite. If a particle is represented
by the letter p, then it is customary to denote its anti-particle by p̄. If a particle is
represented by the letter q − (or q + ), then it is customary to denote its anti-particle
by q + (or q − ).
as arcsecond; an arcsecond is an angle 1/3600 of a degree.
baryon a hadron whose spin is an odd multiple of ~/2. Baryons are composed of three
quarks. Examples of baryons are protons and neutrons.
~ fractional velocity of one observer relative to another, β~ = ~v /c
β
boson a particle whose spin is an integer multiple of ~. All gauge particles are bosons as
are all mesons, as well as the Higgs particle.
causally connected referring to two two events. If an observer or a light signal can be
present at two events, those events are said to be causally connected.
causally disconnected referring to two two events. If an observer or a light signal cannot
be present at two events, those events are said to be causally disconnected.
CBR Cosmic Background Radiation
CM center of mass
CS coordinate system
êx , êy , êz unit vectors along the three Cartesian axes.
EM electromagnetic or electromagnetism, one of the four fundamental forces of nature.
equilibrium temperature temperature of the universe at which matter and radiation
densities are equal
eV electron volt, unit of energy equal to 1.6 × 10−19 J
